To determine the scale factor used for the drawing, we first need to look at the relationship between the measurement in inches (the drawing) and the measurement in yards (the actual size).
The scale provided is:
\[ 9 \text{ inches} = 8 \text{ yards} \]
Next, we want to express this relationship as a scale factor. The scale factor is typically expressed as a ratio of the drawing measurement to the actual measurement.
- Convert the yards into inches because the drawing is in inches. There are 36 inches in a yard, so:
\[ 8 \text{ yards} = 8 \times 36 \text{ inches} = 288 \text{ inches} \]
- Now, we can set up the ratio (scale factor) as:
\[ \text{Scale factor} = \frac{\text{Drawing measurement}}{\text{Actual measurement}} = \frac{9 \text{ inches}}{288 \text{ inches}} \]
- Simplify the fraction:
To simplify \( \frac{9}{288} \), we can divide both the numerator and the denominator by their greatest common divisor. The GCD of 9 and 288 is 9.
\[ \frac{9 \div 9}{288 \div 9} = \frac{1}{32} \]
Thus, the scale factor that Zane used in his drawing is:
\[ \boxed{\frac{1}{32}} \]